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What is the Least Common Multiple of 5837 and 5853?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5837 and 5853 is 34163961.

LCM(5837,5853) = 34163961

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Least Common Multiple of 5837 and 5853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5837 and 5853, than apply into the LCM equation.

GCF(5837,5853) = 1
LCM(5837,5853) = ( 5837 × 5853) / 1
LCM(5837,5853) = 34163961 / 1
LCM(5837,5853) = 34163961

Least Common Multiple (LCM) of 5837 and 5853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5853. First we will calculate the prime factors of 5837 and 5853.

Prime Factorization of 5837

Prime factors of 5837 are 13, 449. Prime factorization of 5837 in exponential form is:

5837 = 131 × 4491

Prime Factorization of 5853

Prime factors of 5853 are 3, 1951. Prime factorization of 5853 in exponential form is:

5853 = 31 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5853.

LCM(5837,5853) = 131 × 4491 × 31 × 19511
LCM(5837,5853) = 34163961